Foreign policy has become far more partisan in recent years. However, the best guide to the country’s foreign policy at any given time is the personality and the individual beliefs of the President, not his party affiliation.
You can put this in a graph. One axis would run from active to passive, while the other would run from values to interests. All of our Presidents would fit in one quadrant or another. Some examples would be as follows:
Passive/interests: Obama and George H. W. Bush
Passive/values: Jimmy Carter
Active/interests: Richard Nixon
Active/values: George W. Bush (campaigned in 2000 as passive/interests)
Clinton and Reagan are a bit harder to categorize. While his rhetoric suggested otherwise, Reagan was actually quite reluctant to engage in military adventures after the debacle in Lebanon, so I would call him only slightly active/values. Clinton would also be slightly active/values, given Rwanda and Bosnia.